Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2001-06-07
Phys.Rev.D65:064015,2002
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
22 pages, 6 Postscript figures
Scientific paper
10.1103/PhysRevD.65.064015
We investigate the initial-boundary value problem for linearized gravitational theory in harmonic coordinates. Rigorous techniques for hyperbolic systems are applied to establish well-posedness for various reductions of the system into a set of six wave equations. The results are used to formulate computational algorithms for Cauchy evolution in a 3-dimensional bounded domain. Numerical codes based upon these algorithms are shown to satisfy tests of robust stability for random constraint violating initial data and random boundary data; and shown to give excellent performance for the evolution of typical physical data. The results are obtained for plane boundaries as well as piecewise cubic spherical boundaries cut out of a Cartesian grid.
Schmidt Bernd
Szilagyi Bela
Winicour Jeffrey
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